Shankar, PN and Deshpande, MD (1990) Viscous and nonlinear effects in the gas dynamics of phase change. Technical Report. National Aeronautical Laboratory, Bangalore, India.
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Abstract
We consider in this report the gas dynamic field associated with liquid-vapour phase change between two parallel liquid surfaces. The full non linear equations for a compressible, viscous, heat conducting gas are considered with no limitations on the Mach number. First the inviscid problem is formulated and exact solutions found for the temperature and velocity fields. Next the non linear, viscous field is obtained for a vapour with a Prandtl number of 0.75 as the equation simplify for tibia case. The results obtained show dynamic departures from the inviscid solutions; the temperature profiles, which may no longer be monotonic, can manifest both undershoots and overshoots. Asymptotic solutions are also developed for small and large values of the height parameter S/H which show Interesting features. The restriction on the Prandtl13; number is then removed. The solutions for arbitrary Prandtl number are shown to merge smoothly to the appropriate inviscid solution as Pr x2022;gt; 0. These solutions also show that Pr=3/4 is a very good approximation for most gases and vapours of interest.13; 13; The remarkable predictions that have been made here show that the role of viscosity in the gas dynamic field in liquid vapour phase change has so far been vastly underestimated. The present results will necessitate serious rethinking on the inviscid, linearized theoretical framework that has so far, by and large been used and they will also have a serious bearing on any future13; experimental investigation of the phenomenon.
| Item Type: | Monograph (Technical Report) |
|---|---|
| Uncontrolled Keywords: | Phase change;Viscous effects;Nonlinearity gas dynamics |
| Subjects: | ENGINEERING > Fluid Mechanics and Thermodynamics |
| Depositing User: | Mr. Ravikumar R |
| Date Deposited: | 06 Oct 2006 |
| Last Modified: | 24 May 2010 04:21 |
| URI: | http://nal-ir.nal.res.in/id/eprint/2895 |
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